Rotational Motion questions with solutions

Showing 1–10 of 83 questions

• MCQmediumRotational Motionquestion based on pure rotation about fixed axis

  A uniform rod of mass m and length l suspended by means of two identical inextensible light strings as shown in figure. Tension in one string immediately after the other string is cut, is _______. (g acceleration due to gravity)

  Options

  • Option A

    mg /2

  • Option B

    mg /4

  • Option C

    mg /3

  • Option D

    mg

  Check answerShow answer

  JEE Mains 202621 January Morning Shift

  Open question & full solution →
• ParagraphdifficultRotational Motionangular impulse in pure rotation and rotational collision

  A uniform circular disk of radius 0.2 m and mass 1 kg is pivoted at its top point C such that it can rotate freely around C in the XY plane, as shown in the figure. Initially, when the disk is at rest, a particle of mass 20 g, travelling along negative x direction in the XY plane with speed 100 m s⁻¹, hits the circumference of the disk at a point P. After collision the particle moves along negative y direction at a speed of 90 m s⁻¹. [Given: acceleration due to gravity g = -10ĵ m s⁻².]

  

  Sub-question 1

  After the collision the disk starts to rotate around point C in the XY plane. The maximum change in the height (in m) of its center O is:

  Your answer

  Sub-question 2

  Amount of energy loss (in J) in the collision is:

  Your answer

  Check answerShow answer

  JEE Advanced2026Paper 2

  Open question & full solution →
• MCQmediumRotational Motioncombined translatory and rotatory motion ,Pure rolling motion

  A solid sphere A of mass 5m and a thin spherical shell B of mass m have the same radius. Each is placed on a rough horizontal surface. A horizontal force of the same magnitude F is applied tangentially at the highest point of each body. Both bodies start rolling without slipping with linear accelerations $a_{A}$and $a_{B}$, respectively. What is the ratio $a_{\char"391 }$:$a_{B}$?

  Options

  • Option A

    5:21

  • Option B

    6:10

  • Option C

    21:25

  • Option D

    1:5

  Check answerShow answer

  JEE Mains 2026 6 April Evening Shift

  Open question & full solution →
• MCQmediumRotational Motionmoment of inertia and kinetic energy in pure rotation

  Ratio of radius of gyration of a hollow sphere to that of a solid cylinder of equal mass, for moment of inertia about their diameter axis AB as shown in figure is √(8/x). The value of x is:

  

  Options

  • Option A

    34

  • Option B

    17

  • Option C

    67

  • Option D

    51

  Check answerShow answer

  JEE Mains 2024 05 Apr Morning Shift

  Open question & full solution →
• MCQmediumRotational Motiontorque and rotational equilibrium

  A uniform disc of mass 2 kg and radius 1 m is acted upon by torque τ(t)=5t²-8t N m. The disc starts from rest. Find the power delivered by the torque at t=1 s.

  Options

  • Option A

    5 W

  • Option B

    3 W

  • Option C

    7 W

  • Option D

    9 W

  Check answerShow answer

  JEE Mains 2025 23 Jan Evening Shift

  Open question & full solution →
• MCQmediumRotational Motionangular momentum in pure rotation and its conservation

  A particle of mass m projected with a velocity ‘u’ making an angle of 30º with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height h is :

  Options

  • Option A

    √3mu³/(16g)

  • Option B

    √3mu²/(2g)

  • Option C

    $\mu$³/(√2g)

  • Option D

    zero

  Check answerShow answer

  JEE Mains 2024 30 Jan Morning Shift

  Open question & full solution →
• IntegereasyRotational Motionrotational constrain motion

  A light rope is wound around a hollow cylinder of mass 5 kg and radius 70 cm. The rope is pulled by a force 52.5 N. Find the angular acceleration in rad s⁻².

  Your answer

  Check answerShow answer

  13 April 2023 Evening Shift

  Open question & full solution →
• NumericmediumRotational Motionangular momentum in pure rotation and its conservation

  Consider a Disc of mass 5 kg, radius 2m, rotating with angular velocity of 10 rad/s about an axis perpendicular to the plane of rotation. An identical disc is kept gently over the rotating disc along the same axis. The energy dissipated so that both the discs continue to rotate together without slipping is _____ J.

  

  Your answer

  Check answerShow answer

  JEE Mains 2024 30 Jan Morning Shift

  Open question & full solution →
• IntegermediumRotational Motioncombined translatory and rotatory motion ,Pure rolling motion

  A solid sphere rolls without slipping. The ratio of its angular momentum about its rotation axis to its total kinetic energy is π:22. Find its angular speed in rad s⁻¹.

  Your answer

  Check answerShow answer

  JEE Mains13 April 2023Shift 1Morning Shift

  Open question & full solution →
• MCQmediumRotational Motionmoment of inertia and kinetic energy in pure rotation

  A solid sphere of mass M and radius R is divided into two unequal parts. The smaller part has mass M /8 and is reshaped into a sphere of radius r. The larger part has mass 7M /8 and is reshaped into a circular disc of thickness t and radius 2R. Let I₁ be the moment of inertia of the smaller sphere about an axis through its centre, and I₂ be the moment of inertia of the disc about its diameter. Assuming the material density remains unchanged, what is I₂ / I₁?

  Options

  • Option A

    35

  • Option B

    70

  • Option C

    140

  • Option D

    210

  Check answerShow answer

  JEE Mains 2026 4 April Morning Shift

  Open question & full solution →